466963200 has 486 divisors, whose sum is σ = 1862458052. Its totient is φ = 111513600.

The previous prime is 466963193. The next prime is 466963201. The reversal of 466963200 is 2369664.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (466963201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6969567 + ... + 6969633.

Almost surely, 2^466963200 is an apocalyptic number.

466963200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931229026).

466963200 is an abundant number, since it is smaller than the sum of its proper divisors (1395494852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466963200 is a wasteful number, since it uses less digits than its factorization.

466963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 466963200 is about 21609.3313177433. The cubic root of 466963200 is about 775.8198469386.

The spelling of 466963200 in words is "four hundred sixty-six million, nine hundred sixty-three thousand, two hundred".